TY: JOUR
T1 - Maximum principles for some quasilinear elliptic systems
A1 - Leonardi, Salvatore
A1 - Leonetti, Francesco
A1 - Pignotti, Cristina
A1 - Rocha, Eugénio
A1 - Staicu, Vasile
N2 - We give maximum principles for solutions u:??? N to a class of quasilinear elliptic systems whose prototype is [Formula presented]where ??{1,?,N} is the equation index and ? is an open, bounded subset of ? n . We assume that coefficients [Formula presented] are measurable with respect to x, continuous with respect to y?? N , bounded and elliptic. In vectorial problems, when trying to bound the solution by means of the boundary data, we need to bypass De Giorgi's counterexample by means of some additional structure assumptions on the coefficients [Formula presented]. In this paper, we assume that off-diagonal coefficients [Formula presented], ???, have support in some staircase set along the diagonal in the y ? ,y ? plane
UR - https://ria.ua.pt/handle/10773/25838
Y1 - 2020
PB - Elsevier